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Ever drilled holes in granite?! It's possible but I'll wear out a dozen drill-bits putting up all the trellises, and probably burn out at least one drill motor. If there's any other option I want to try that first.

Use silicone caulking to glue blocks of wood to the granite wall. Where you apply the blocks, the wall must be wire brushed clean and washed. Screw your trellis to the blocks. While the silicone is curing, you must keep the blocks supported, so they don't slide down.

I would also consider making wood hooks that go over the top of the wall for support...2x4 that are bolted together.

Drilling granite would be futile! The drill would need to be water/oil cooled...

This is the type of tool I use to drill holes in all types of stone and concrete.

I also have some diamond hole saws that do a fantastic job.
Another thing I have done in a past life is use big air drills to drill holes in huge granite boulders the size of a house and then use feather wedges and a sledge hammer to split them in half.

Something like this but on a much larger stone.

__________________
Happy Fermenting.
I Texas.
I came into this life with a backbone and I'll leave it with one.
Worth

I would need to see a picture of the wall and the trellis. And what future plans to grow
on it. (Grape vine has different requirements over seasonal peas)....
Many ways to solve a problem. And very few ways to make it safe and correct.

Here is going to be my honest opinion on the stone wall.
I am and would be reluctant to permanently affix anything to a stone wall.
In my opinion it would ruin the looks of the wall for future people or what ever.
You would have ugly rusty studs sticking out.
If I were to do it I would use stainless studs so they would last one heck of a lot longer.

This isn't Hadrians or Antonine wall is it.

It to me would be a better option to put up posts in front of the wall to put the trellis on.
I have seen this done with pipe bent around the shape of old stone walls and the wire webbing put on it.
A pictuer of the wall would be of great help.

__________________
Happy Fermenting.
I Texas.
I came into this life with a backbone and I'll leave it with one.
Worth

Use silicone caulking to glue blocks of wood to the granite wall. Where you apply the blocks, the wall must be wire brushed clean and washed. Screw your trellis to the blocks. While the silicone is curing, you must keep the blocks supported, so they don't slide down.

A construction adhesive like Liquid Nails would work better than silicone, but along the lines of Worth's point, silicone would come off much easier at the end of the season. Liquid nails would have to be chiseled off.

Use silicone caulking to glue blocks of wood to the granite wall. Where you apply the blocks, the wall must be wire brushed clean and washed. Screw your trellis to the blocks. While the silicone is curing, you must keep the blocks supported, so they don't slide down.

I would also consider making wood hooks that go over the top of the wall for support...2x4 that are bolted together.

Drilling granite would be futile! The drill would need to be water/oil cooled...

Oh you absolute star! Hooks over the wall! I already had willow stakes woven through it, which were mostly coping in our high winds but were leaning forward due to the prevailing wind direction. I needed some extra reinforcement at the top. So I just now made some wire hooks, fixed a lead weight to one end, molded it over the wall and wound the ends into the trellis. It's perfect! And the wire+lead is barely noticeable on the other side of the wall. And this way I can move the trellis easily at the end of the season!
It's just for beans, so the weight won't be much of an issue. Hurray!